Deformed Coordinate-Space Hartree-Fock-Bogoliubov Approach to Weakly Bound Nuclei and Large Deformations

Pei, Junchen; Stoitsov, M. V.; Fann, G. I.; Nazarewicz, W.; Schunck, N.; Xu, F. R.

doi:10.1103/PhysRevC.78.064306

Deformed Coordinate-Space Hartree-Fock-Bogoliubov Approach to Weakly Bound Nuclei and Large Deformations

Journal Article · Tue Jan 01 04:00:00 EST 2008 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.78.064306· OSTI ID:947135

Pei, Junchen ^[1]; Stoitsov, M. V. ^[2]; Fann, G. I. ^[3]; Nazarewicz, W. ^[2]; Schunck, N. ^[2]; Xu, F. R. ^[4]

ORNL
University of Tennessee, Knoxville (UTK) & Oak Ridge National Laboratory (ORNL)
Oak Ridge National Laboratory (ORNL)
Peking University

The coordinate space formulation of the Hartree-Fock-Bogoliubov (HFB) method enables self-consistent treatment of mean field and pairing in weakly bound systems whose properties are affected by the particle continuum space. Of particular interest are neutron-rich, deformed drip-line nuclei which can exhibit novel properties associated with neutron skin. To describe such systems theoretically, we developed an accurate 2D lattice Skyrme-HFB solver HFB-AX based on B-splines. Compared to previous implementations, we made a number of improvements aimed at boosting the solver's performance. These include: explicit imposition of axiality and space inversion, use of the modified Broyden's method to solve self-consistent equations, and a partial parallelization of the code. HFB-AX has been benchmarked against other HFB solvers, both spherical and deformed, and the accuracy of the B-spline expansion was tested by employing the multi-resolution wavelet method. Illustrative calculations are carried out for stable and weakly bound nuclei at spherical and very deformed shapes, including constrained fission pathways. In addition to providing new physics insights, HFB-AX can serve as a useful tool to assess the reliability and applicability of coordinate-space and configuration-space HFB solvers, both existing and in development.

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Oak Ridge National Laboratory (ORNL)

Sponsoring Organization:: DOE Office of Science; SC USDOE - Office of Science (SC)

DOE Contract Number:: AC05-00OR22725

OSTI ID:: 947135

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 6 Vol. 78

Country of Publication:: United States

Language:: English

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